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Tuesday, November 19, 2013

SP 4: Unit J Concept 5: Partial Fraction Decomposition with Distinct Factors

One must pay special attention to several things to get this. First off, one must be careful to not make any mistakes, for they could be fatal. Also pay attention to the factors; needless to say, those are important (understatement of the day). Also, pay attention to my writing, I shamefully admit that I do not own the most remarkable penmanship (also the first picture was incorrectly took and the result was a hard to read, vertical image). As the great writer Sophocles once quoted, "My bad, dawg."





Monday, November 11, 2013

SV #5: Unit J Concepts 3-4: Solving three- variable systems with Gaussian Elimination and Solving non-square systems (matrices)

It is very important to pay special attention to several key elements of this awesome video. First off, it is very important to pay attention to each step individually so as to understand what is being done. Second, it is important to use the correct row for each step. Also, be certain that all your work is done properly, for matrices are very complicated.

Sunday, October 27, 2013

SV #4: Unit I Concept 2: Graphing logarithmic functions and identifying x- intercepts, y - intercepts, asymptote, domain, range (4 points on graph minimum)


In order to understand the problem, the viewer must be attentive to several elements. Firstly, it is important to identify your h and k accurately, otherwise many parts of your problem (if not the whole problem) will be incorrect. Also, one must be meticulous in their work for the intercepts. Lastly and obviously, one must make sure to plug in the equation to their calculator, correctly using the change of base.

Thursday, October 24, 2013

SP #3: Unit I Concept 1: Graphing exponential functions and identifying x- intercept, y- intercept, asymptotes, domain, range (4 points on graph minimum)

Hey this is Michael C. from Period 5. In this picture we will be graphing an exponential equation and identifying key parts. The equation we will be using is y = 5(1/2)^(x - 1) + 1. First you will identify the a, the b, the h, and the k. The next logical thing to do is find the equation for the asymptote which should be y = k. Then You find the x- intercept by setting y to zero (it should be undefined for this problem since the asymptote is y = 1 and the graph must be above it so the graph will never come into contact with the x- axis.) and the y- intercept by setting x to zero. Domain for these problems will always be all real numbers since the graph goes infinitely to the left and right. Range will depend on the asymptote and wheter the graph is above or below it, and it's above in this problem. Next you want to use some key points and the h should be your 3rd point. Plug the equation into the calculator and use the table to get the points and plot the points. You know that the graph should be heading toward the asymptote on the right side since the absolute value of b is less than 1. And that is all.
When solving this problem one must pay attention to a few things. Firstly you must be precise in identifying a- k. Second, you must make note that the x- intercept is undefined because of the asymptote. Also, you must remember that there are no restrictions for the domain and the range depends on the asymptote.

Thursday, October 17, 2013

SV #3 Unit H Concept 7: Finding logs using approximations (treasure hunt)

In order to fully understand the problem the viewer must pay special attention to a few things. One, the viewer needs to pay attention to the clues. Two, the viewer needs to be sure that they have broken apart the problem correctly to get the right clues to use. Then, the viewer must expand the log correctly, so when it's time to substitute the variables in, the problem will be correct.